Dedekind subrings ofk[x
1,…,x
n
] are rings of polynomials |
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| Authors: | Abraham Zaks |
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| Institution: | (1) Northwestern University, Evanston, Illinois;(2) Technion — Israel Institute of Technology, Haifa |
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| Abstract: | The purpose of this note is to prove that a Dedekind domain R which contains a field k, and which is a subring ofkx
1,…,x
n
] is a ring of polynomials. This generalizes similar results of A. Evyatar and A. Zaks on principal ideal domains, and of
P. M. Cohn for the casen=1. Our methods and proofs differ from those introduced previously.
This research was partially supported by the National Science Foundation, Grant GP-23861. |
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| Keywords: | |
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